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Finding the Third Proportional to 9,144.75 and 12,258.75

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Solution

The third proportional to 9,144.75 and 12,258.75 is: 16,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.75 : 12,258.75 = 12,258.75 : x
  2. Step 2: Convert to fraction form
    9,144.75/12,258.75 = 12,258.75/x
  3. Step 3: Cross multiply
    9,144.75x = 12,258.75 × 12,258.75
  4. Step 4: Simplify right side
    9,144.75x = 150,276,951.56
  5. Step 5: Solve for x
    x = 150,276,951.56/9,144.75
  6. Step 6: Final answer
    x = 16,433.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.